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We present a new second-order method, based on the MAC scheme on cartesian grids, for the numerical simulation of two-dimensional incompressible flows past obstacles. In this approach, the solid boundary is embedded in the cartesian computational mesh. Dis ...
This paper deals with the numerical approximation of the stationary two-dimensional Stokes equations, formulated in terms of vorticity, velocity and pressure, with non-standard boundary conditions. Here, by introducing a Galerkin least-squares term, we end ...
The numerical simulation of free-surface flows around sailing boats is a complex topic that addresses multiple mathematical tasks: the correct study of the flow field around a rigid hull, the numerical simulation of the hull dynamics, the deformation of th ...
The draft tube vortex rope occurring in Francis Turbines at full load is a potential cause of severe system instabilities, limiting the operating range of concerned hydro power plants. Studies focusing on physical mechanisms [1], methods for stability asse ...
Beside analytical approaches, physical modelling represents probably the oldest design tool in hydraulic engineering. For free surface flows, the similitude according to a Froude similarity allows for a correct representation of the dominant forces, namely ...
This study presents an analytical model of the dynamics of an axisymmetric liquid bridge confined between two circular pads and subjected to small vertical periodic perturbations. Such system finds important applications in microassembly and microjoint des ...
A stabilized semidiscrete finite element discretization of the transient transport equation is studied in the framework of anisotropic meshes. A priori and a posteriori error estimates are derived, the involved constants being independent of the mesh aspec ...
Fully non-linear kinetic simulations of electron plasma and ion acoustic waves (IAWs) have been carried out with a new multi-species, parallelized Vlasov code. The numerical implementation of the Vlasov model and the methods used to compute the wave freque ...
In the framework of the development of new nuclear plants, we have studied the feasibility of producing cladding tubes in new grades adapted to the severe mechanical, thermal and irradiation conditions. ODS steel grades have been identified as promising ma ...
A new numerical method is proposed to study two-phase flow and heat transfer for interlayer cooling of the new generation of multi-stacked computer chips. The fluid flow equations are developed in 3-dimensions based on the Arbitrary Lagrangian-Eulerian for ...
